A vanishing theorem for threefolds in characteristic and applications
arXiv:2007.01803
Abstract
In this note we show a Kawamata-Viehweg vanishing theorem for pl-contractions on threefolds in characteristic . We deduce several applications for klt threefolds: the vanishing of higher direct images of structure sheaves of Mori fibre spaces, Kollár's result on local vanishing and the rationality of the singularities of the base of a conic bundle.
Minor corrections. This article is superseded by arXiv:2012.08343